1 |
molod |
1.1 |
C $Header: $ |
2 |
|
|
C $Name: $ |
3 |
|
|
#include "FIZHI_OPTIONS.h" |
4 |
|
|
subroutine gwdrag (myid,pz,pl,ple,dpres,pkz,uz,vz,tz,qz,phis_var, |
5 |
|
|
. dudt,dvdt,dtdt,im,jm,lm,bi,bj,istrip,npcs,imglobal) |
6 |
|
|
C*********************************************************************** |
7 |
|
|
C |
8 |
|
|
C PURPOSE: |
9 |
|
|
C ======== |
10 |
|
|
C Driver Routine for Gravity Wave Drag |
11 |
|
|
C |
12 |
|
|
C INPUT: |
13 |
|
|
C ====== |
14 |
|
|
C myid ....... Process ID |
15 |
|
|
C pz ....... Surface Pressure [im,jm] |
16 |
|
|
C pl ....... 3D pressure field [im,jm,lm] |
17 |
|
|
C ple ....... 3d pressure at model level edges [im,jm,lm+1] |
18 |
|
|
C dpres ....... pressure difference across level [im,jm,lm] |
19 |
|
|
C pkz ....... pressure**kappa [im,jm,lm] |
20 |
|
|
C uz ....... zonal velocity [im,jm,lm] |
21 |
|
|
C vz ....... meridional velocity [im,jm,lm] |
22 |
|
|
C tz ....... temperature [im,jm,lm] |
23 |
|
|
C qz ....... specific humidity [im,jm,lm] |
24 |
|
|
C phis_var .... topography variance |
25 |
|
|
C im ....... number of grid points in x direction |
26 |
|
|
C jm ....... number of grid points in y direction |
27 |
|
|
C lm ....... number of grid points in vertical |
28 |
|
|
C istrip ...... 'strip' length for cache size control |
29 |
|
|
C npcs ....... number of strips |
30 |
|
|
C imglobal .... (avg) number of longitude points around the globe |
31 |
|
|
C |
32 |
|
|
C INPUT/OUTPUT: |
33 |
|
|
C ============ |
34 |
|
|
C dudt ....... Updated U-Wind Tendency including Gravity Wave Drag |
35 |
|
|
C dvdt ....... Updated V-Wind Tendency including Gravity Wave Drag |
36 |
|
|
C dtdt ....... Updated Pi*Theta Tendency including Gravity Wave Drag |
37 |
|
|
C |
38 |
|
|
C*********************************************************************** |
39 |
|
|
implicit none |
40 |
|
|
|
41 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
42 |
|
|
#include "SIZE.h" |
43 |
|
|
#include "DIAGNOSTICS_SIZE.h" |
44 |
|
|
#include "DIAGNOSTICS.h" |
45 |
|
|
#endif |
46 |
|
|
|
47 |
|
|
c Input Variables |
48 |
|
|
c --------------- |
49 |
|
|
integer myid,im,jm,lm,bi,bj,istrip,npcs,imglobal |
50 |
|
|
real pz(im,jm) |
51 |
|
|
real pl(im,jm,lm) |
52 |
|
|
real ple(im,jm,lm+1) |
53 |
|
|
real dpres(im,jm,lm) |
54 |
|
|
real pkz(im,jm,lm) |
55 |
|
|
real uz(im,jm,lm) |
56 |
|
|
real vz(im,jm,lm) |
57 |
|
|
real tz(im,jm,lm) |
58 |
|
|
real qz(im,jm,lm) |
59 |
|
|
real phis_var(im,jm) |
60 |
|
|
|
61 |
|
|
real dudt(im,jm,lm) |
62 |
|
|
real dvdt(im,jm,lm) |
63 |
|
|
real dtdt(im,jm,lm) |
64 |
|
|
|
65 |
|
|
c Local Variables |
66 |
|
|
c --------------- |
67 |
|
|
real tv(im,jm,lm) |
68 |
|
|
real dragu(im,jm,lm), dragv(im,jm,lm) |
69 |
|
|
real dragt(im,jm,lm) |
70 |
|
|
real dragx(im,jm), dragy(im,jm) |
71 |
|
|
real sumu(im,jm) |
72 |
|
|
integer nthin(im,jm),nbase(im,jm) |
73 |
|
|
integer nthini, nbasei |
74 |
|
|
|
75 |
|
|
real phis_std(im,jm) |
76 |
|
|
|
77 |
|
|
real std(istrip), ps(istrip) |
78 |
|
|
real us(istrip,lm), vs(istrip,lm), ts(istrip,lm) |
79 |
|
|
real dragus(istrip,lm), dragvs(istrip,lm) |
80 |
|
|
real dragxs(istrip), dragys(istrip) |
81 |
|
|
real plstr(istrip,lm),plestr(istrip,lm),dpresstr(istrip,lm) |
82 |
|
|
integer nthinstr(istrip),nbasestr(istrip) |
83 |
|
|
|
84 |
|
|
integer n,i,j,L |
85 |
|
|
real getcon, pi |
86 |
|
|
real grav, rgas, cp, cpinv, lstar |
87 |
|
|
|
88 |
|
|
c Initialization |
89 |
|
|
c -------------- |
90 |
|
|
pi = 4.0*atan(1.0) |
91 |
|
|
grav = getcon('GRAVITY') |
92 |
|
|
rgas = getcon('RGAS') |
93 |
|
|
cp = getcon('CP') |
94 |
|
|
cpinv = 1.0/cp |
95 |
|
|
lstar = 2*getcon('EARTH RADIUS')*cos(pi/3.0)/imglobal |
96 |
|
|
|
97 |
|
|
c Compute NTHIN and NBASE |
98 |
|
|
c ----------------------- |
99 |
|
|
do j=1,jm |
100 |
|
|
do i=1,im |
101 |
|
|
|
102 |
|
|
do nthini = 1,lm+1 |
103 |
|
|
if( 1000.0-ple(i,j,lm+2-nthini).gt.25. ) then |
104 |
|
|
nthin(i,j) = nthini |
105 |
|
|
goto 10 |
106 |
|
|
endif |
107 |
|
|
enddo |
108 |
|
|
10 continue |
109 |
|
|
do nbasei = 1,lm+1 |
110 |
|
|
if( ple(i,j,lm+2-nbasei).lt.666.7 ) then |
111 |
|
|
nbase(i,j) = nbasei |
112 |
|
|
goto 20 |
113 |
|
|
endif |
114 |
|
|
enddo |
115 |
|
|
20 continue |
116 |
|
|
if( 666.7-ple(i,j,lm+2-nbase(i,j)) .gt. |
117 |
|
|
. ple(i,j,lm+3-nbase(i,j))-666.7 ) then |
118 |
|
|
nbase(i,j) = nbase(i,j)-1 |
119 |
|
|
endif |
120 |
|
|
|
121 |
|
|
enddo |
122 |
|
|
enddo |
123 |
|
|
c Compute Topography Sub-Grid Standard Deviation |
124 |
|
|
c ---------------------------------------------- |
125 |
|
|
do j=1,jm |
126 |
|
|
do i=1,im |
127 |
|
|
phis_std(i,j) = min( 400.0, sqrt( max(0.0,phis_var(i,j)) )/grav ) |
128 |
|
|
enddo |
129 |
|
|
enddo |
130 |
|
|
|
131 |
|
|
c Compute Virtual Temperatures |
132 |
|
|
c ---------------------------- |
133 |
|
|
do L = 1,lm |
134 |
|
|
do j = 1,jm |
135 |
|
|
do i = 1,im |
136 |
|
|
tv(i,j,L) = tz(i,j,L)*pkz(i,j,L)*(1.+.609*qz(i,j,L)) |
137 |
|
|
enddo |
138 |
|
|
enddo |
139 |
|
|
enddo |
140 |
|
|
|
141 |
|
|
c Call Gravity Wave Drag Paramterization on A-Grid |
142 |
|
|
c ------------------------------------------------ |
143 |
|
|
|
144 |
|
|
do n=1,npcs |
145 |
|
|
|
146 |
|
|
call strip ( phis_std,std,im*jm,istrip,1,n ) |
147 |
|
|
|
148 |
|
|
call strip ( pz,ps,im*jm,istrip,1 ,n ) |
149 |
|
|
call strip ( uz,us,im*jm,istrip,lm,n ) |
150 |
|
|
call strip ( vz,vs,im*jm,istrip,lm,n ) |
151 |
|
|
call strip ( tv,ts,im*jm,istrip,lm,n ) |
152 |
|
|
call strip ( pl,plstr,im*jm,istrip,lm,n ) |
153 |
|
|
call strip ( ple,plestr,im*jm,istrip,lm,n ) |
154 |
|
|
call strip ( dpres,dpresstr,im*jm,istrip,lm,n ) |
155 |
|
|
call stripint ( nthin,nthinstr,im*jm,istrip,lm,n ) |
156 |
|
|
call stripint ( nbase,nbasestr,im*jm,istrip,lm,n ) |
157 |
|
|
|
158 |
|
|
call GWDD ( ps,us,vs,ts, |
159 |
|
|
. dragus,dragvs,dragxs,dragys,std, |
160 |
|
|
. plstr,plestr,dpresstr,grav,rgas,cp, |
161 |
|
|
. istrip,lm,nthinstr,nbasestr,lstar ) |
162 |
|
|
|
163 |
|
|
call paste ( dragus,dragu,istrip,im*jm,lm,n ) |
164 |
|
|
call paste ( dragvs,dragv,istrip,im*jm,lm,n ) |
165 |
|
|
call paste ( dragxs,dragx,istrip,im*jm,1 ,n ) |
166 |
|
|
call paste ( dragys,dragy,istrip,im*jm,1 ,n ) |
167 |
|
|
|
168 |
|
|
enddo |
169 |
|
|
|
170 |
|
|
c Add Gravity-Wave Drag to Wind and Theta Tendencies |
171 |
|
|
c -------------------------------------------------- |
172 |
|
|
do L = 1,lm |
173 |
|
|
do j = 1,jm |
174 |
|
|
do i = 1,im |
175 |
|
|
dragu(i,j,L) = sign( min(0.006,abs(dragu(i,j,L))),dragu(i,j,L) ) |
176 |
|
|
dragv(i,j,L) = sign( min(0.006,abs(dragv(i,j,L))),dragv(i,j,L) ) |
177 |
|
|
dragt(i,j,L) = -( uz(i,j,L)*dragu(i,j,L)+vz(i,j,L)*dragv(i,j,L) ) |
178 |
|
|
. *cpinv |
179 |
|
|
dudt(i,j,L) = dudt(i,j,L) + dragu(i,j,L) |
180 |
|
|
dvdt(i,j,L) = dvdt(i,j,L) + dragv(i,j,L) |
181 |
|
|
dtdt(i,j,L) = dtdt(i,j,L) + dragt(i,j,L)*pz(i,j)/pkz(i,j,L) |
182 |
|
|
enddo |
183 |
|
|
enddo |
184 |
|
|
enddo |
185 |
|
|
|
186 |
|
|
c Compute Diagnostics |
187 |
|
|
c ------------------- |
188 |
|
|
if( igwdu.ne.0 .or. igwdv.ne.0 .or. igwdt.ne.0 ) then |
189 |
|
|
do L = 1,lm |
190 |
|
|
if( igwdu.ne.0 ) then |
191 |
|
|
do j = 1,jm |
192 |
|
|
do i = 1,im |
193 |
|
|
qdiag(i,j,igwdu+L-1,bi,bj) = qdiag(i,j,igwdu+L-1,bi,bj) + |
194 |
|
|
. dragu(i,j,L)*86400 |
195 |
|
|
enddo |
196 |
|
|
enddo |
197 |
|
|
endif |
198 |
|
|
if( igwdv.ne.0 ) then |
199 |
|
|
do j = 1,jm |
200 |
|
|
do i = 1,im |
201 |
|
|
qdiag(i,j,igwdv+L-1,bi,bj) = qdiag(i,j,igwdv+L-1,bi,bj) + |
202 |
|
|
. dragv(i,j,L)*86400 |
203 |
|
|
enddo |
204 |
|
|
enddo |
205 |
|
|
endif |
206 |
|
|
if( igwdt.ne.0 ) then |
207 |
|
|
do j = 1,jm |
208 |
|
|
do i = 1,im |
209 |
|
|
qdiag(i,j,igwdt+L-1,bi,bj) = qdiag(i,j,igwdt+L-1,bi,bj) + |
210 |
|
|
. dragt(i,j,L)*86400 |
211 |
|
|
enddo |
212 |
|
|
enddo |
213 |
|
|
endif |
214 |
|
|
enddo |
215 |
|
|
endif |
216 |
|
|
|
217 |
|
|
c Gravity Wave Drag at Surface (U-Wind) |
218 |
|
|
c ------------------------------------- |
219 |
|
|
if( igwdus.ne.0 ) then |
220 |
|
|
do j = 1,jm |
221 |
|
|
do i = 1,im |
222 |
|
|
qdiag(i,j,igwdus,bi,bj) = qdiag(i,j,igwdus,bi,bj) + dragx(i,j) |
223 |
|
|
enddo |
224 |
|
|
enddo |
225 |
|
|
endif |
226 |
|
|
|
227 |
|
|
c Gravity Wave Drag at Surface (V-Wind) |
228 |
|
|
c ------------------------------------- |
229 |
|
|
if( igwdvs.ne.0 ) then |
230 |
|
|
do j = 1,jm |
231 |
|
|
do i = 1,im |
232 |
|
|
qdiag(i,j,igwdvs,bi,bj) = qdiag(i,j,igwdvs,bi,bj) + dragy(i,j) |
233 |
|
|
enddo |
234 |
|
|
enddo |
235 |
|
|
endif |
236 |
|
|
|
237 |
|
|
c Gravity Wave Drag at Model Top (U-Wind) |
238 |
|
|
c --------------------------------------- |
239 |
|
|
if( igwdut.ne.0 ) then |
240 |
|
|
do j = 1,jm |
241 |
|
|
do i = 1,im |
242 |
|
|
sumu(i,j) = 0.0 |
243 |
|
|
enddo |
244 |
|
|
enddo |
245 |
|
|
do L = 1,lm |
246 |
|
|
do j = 1,jm |
247 |
|
|
do i = 1,im |
248 |
|
|
sumu(i,j) = sumu(i,j) + dragu(i,j,L)*dpres(i,j,L)/pz(i,j) |
249 |
|
|
enddo |
250 |
|
|
enddo |
251 |
|
|
enddo |
252 |
|
|
do j = 1,jm |
253 |
|
|
do i = 1,im |
254 |
|
|
qdiag(i,j,igwdut,bi,bj) = qdiag(i,j,igwdut,bi,bj) + dragx(i,j) |
255 |
|
|
. + sumu(i,j)*pz(i,j)/grav*100 |
256 |
|
|
enddo |
257 |
|
|
enddo |
258 |
|
|
endif |
259 |
|
|
|
260 |
|
|
c Gravity Wave Drag at Model Top (V-Wind) |
261 |
|
|
c --------------------------------------- |
262 |
|
|
if( igwdvt.ne.0 ) then |
263 |
|
|
do j = 1,jm |
264 |
|
|
do i = 1,im |
265 |
|
|
sumu(i,j) = 0.0 |
266 |
|
|
enddo |
267 |
|
|
enddo |
268 |
|
|
do L = 1,lm |
269 |
|
|
do j = 1,jm |
270 |
|
|
do i = 1,im |
271 |
|
|
sumu(i,j) = sumu(i,j) + dragv(i,j,L)*dpres(i,j,L)/pz(i,j) |
272 |
|
|
enddo |
273 |
|
|
enddo |
274 |
|
|
enddo |
275 |
|
|
do j = 1,jm |
276 |
|
|
do i = 1,im |
277 |
|
|
qdiag(i,j,igwdvt,bi,bj) = qdiag(i,j,igwdvt,bi,bj) + dragy(i,j) |
278 |
|
|
. + sumu(i,j)*pz(i,j)/grav*100 |
279 |
|
|
enddo |
280 |
|
|
enddo |
281 |
|
|
endif |
282 |
|
|
|
283 |
|
|
ngwdu = ngwdu + 1 |
284 |
|
|
ngwdv = ngwdv + 1 |
285 |
|
|
ngwdt = ngwdt + 1 |
286 |
|
|
ngwdus = ngwdus + 1 |
287 |
|
|
ngwdvs = ngwdvs + 1 |
288 |
|
|
ngwdut = ngwdut + 1 |
289 |
|
|
ngwdvt = ngwdvt + 1 |
290 |
|
|
|
291 |
|
|
return |
292 |
|
|
end |
293 |
|
|
SUBROUTINE GWDD ( ps,u,v,t,dudt,dvdt,xdrag,ydrag, |
294 |
|
|
. std,pl,ple,dpres, |
295 |
|
|
. grav,rgas,cp,irun,lm,nthin,nbase,lstar ) |
296 |
|
|
C*********************************************************************** |
297 |
|
|
C |
298 |
|
|
C Description: |
299 |
|
|
C ============ |
300 |
|
|
C Parameterization to introduce a Gravity Wave Drag |
301 |
|
|
C due to sub-grid scale orographic forcing |
302 |
|
|
C |
303 |
|
|
C Input: |
304 |
|
|
C ====== |
305 |
|
|
C ps ......... Surface Pressure |
306 |
|
|
C u .......... Zonal Wind (m/sec) |
307 |
|
|
C v .......... Meridional Wind (m/sec) |
308 |
|
|
C t .......... Virtual Temperature (deg K) |
309 |
|
|
C std ........ Standard Deviation of sub-grid Orography (m) |
310 |
|
|
C ple ....... Model pressure Edge Values |
311 |
|
|
C pl ........ Model pressure Values |
312 |
|
|
C dpres....... Model Delta pressure Values |
313 |
|
|
C grav ....... Gravitational constant (m/sec**2) |
314 |
|
|
C rgas ....... Gas constant |
315 |
|
|
C cp ......... Specific Heat at constant pressure |
316 |
|
|
C irun ....... Number of grid-points in horizontal dimension |
317 |
|
|
C lm ......... Number of grid-points in vertical dimension |
318 |
|
|
C lstar ...... Monochromatic Wavelength/(2*pi) |
319 |
|
|
C |
320 |
|
|
C Output: |
321 |
|
|
C ======= |
322 |
|
|
C dudt ....... Zonal Acceleration due to GW Drag (m/sec**2) |
323 |
|
|
C dvdt ....... Meridional Acceleration due to GW Drag (m/sec**2) |
324 |
|
|
C xdrag ...... Zonal Surface and Base Layer Stress (Pa) |
325 |
|
|
C ydrag ...... Meridional Surface and Base Layer Stress (Pa) |
326 |
|
|
C |
327 |
|
|
C*********************************************************************** |
328 |
|
|
|
329 |
|
|
implicit none |
330 |
|
|
|
331 |
|
|
c Input Variables |
332 |
|
|
c --------------- |
333 |
|
|
integer irun,lm |
334 |
|
|
real ps(irun) |
335 |
|
|
real u(irun,lm), v(irun,lm), t(irun,lm) |
336 |
|
|
real dudt(irun,lm), dvdt(irun,lm) |
337 |
|
|
real xdrag(irun), ydrag(irun) |
338 |
|
|
real std(irun) |
339 |
|
|
real ple(irun,lm+1), pl(irun,lm), dpres(irun,lm) |
340 |
|
|
real grav, rgas, cp |
341 |
|
|
integer nthin(irun),nbase(irun) |
342 |
|
|
real lstar |
343 |
|
|
|
344 |
|
|
c Dynamic Allocation Variables |
345 |
|
|
c ---------------------------- |
346 |
|
|
real ubar(irun), vbar(irun), robar(irun) |
347 |
|
|
real speed(irun), ang(irun) |
348 |
|
|
real bv(irun,lm) |
349 |
|
|
real nbar(irun) |
350 |
|
|
|
351 |
|
|
real tstd(irun) |
352 |
|
|
real XTENS(irun,lm+1), YTENS(irun,lm+1) |
353 |
|
|
real TENSIO(irun,lm+1) |
354 |
|
|
real DRAGSF(irun) |
355 |
|
|
real RO(irun,lm), DZ(irun,lm) |
356 |
|
|
|
357 |
|
|
integer icrilv(irun) |
358 |
|
|
|
359 |
|
|
c Local Variables |
360 |
|
|
c --------------- |
361 |
|
|
integer i,l |
362 |
|
|
real a,g,stdmax,agrav,akwnmb |
363 |
|
|
real gocp,roave,roiave,frsf,gstar,vai1,vai2 |
364 |
|
|
real vaisd,velco,deluu,delvv,delve2,delz,vsqua |
365 |
|
|
real richsn,crifro,crif2,fro2,coef |
366 |
|
|
|
367 |
|
|
c Initialization |
368 |
|
|
c -------------- |
369 |
|
|
a = 1.0 |
370 |
|
|
g = 1.0 |
371 |
|
|
agrav = 1.0/GRAV |
372 |
|
|
akwnmb = 1.0/lstar |
373 |
|
|
gocp = GRAV/CP |
374 |
|
|
|
375 |
|
|
c Constrain the Maximum Value of the Standard Deviation |
376 |
|
|
c ----------------------------------------------------- |
377 |
|
|
stdmax = 400. |
378 |
|
|
do i = 1,irun |
379 |
|
|
tstd(i) = std(i) |
380 |
|
|
if( std(i).gt.stdmax ) tstd(i) = stdmax |
381 |
|
|
enddo |
382 |
|
|
|
383 |
|
|
c Compute Atmospheric Density |
384 |
|
|
c --------------------------- |
385 |
|
|
do l = 1,lm |
386 |
|
|
do i = 1,irun |
387 |
|
|
ro(i,l) = pl(i,l)/(rgas*t(i,lm+1-l)) |
388 |
|
|
enddo |
389 |
|
|
enddo |
390 |
|
|
|
391 |
|
|
c Compute Layer Thicknesses |
392 |
|
|
c ------------------------- |
393 |
|
|
do l = 2,lm |
394 |
|
|
do i = 1,irun |
395 |
|
|
roiave = ( 1./ro(i,l-1) + 1./ro(i,l) )*0.5 |
396 |
|
|
dz(i,l) = agrav*roiave*( pl(i,l-1)-pl(i,l) ) |
397 |
|
|
enddo |
398 |
|
|
enddo |
399 |
|
|
|
400 |
|
|
|
401 |
|
|
c****************************************************** |
402 |
|
|
c Surface and Base Layer Stress * |
403 |
|
|
c****************************************************** |
404 |
|
|
|
405 |
|
|
c Definition of Surface Wind Vector |
406 |
|
|
c --------------------------------- |
407 |
|
|
do i = 1,irun |
408 |
|
|
robar(i) = 0.0 |
409 |
|
|
ubar(i) = 0.0 |
410 |
|
|
vbar(i) = 0.0 |
411 |
|
|
enddo |
412 |
|
|
|
413 |
|
|
do i = 1,irun |
414 |
|
|
do L = 1,nbase(i)-1 |
415 |
|
|
robar(i) = robar(i) + ro(i,L) *(ple(i,L)-ple(i,L+1)) |
416 |
|
|
ubar(i) = ubar(i) + u(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
417 |
|
|
vbar(i) = vbar(i) + v(i,lm+1-L)*(ple(i,L)-ple(i,L+1)) |
418 |
|
|
enddo |
419 |
|
|
enddo |
420 |
|
|
|
421 |
|
|
do i = 1,irun |
422 |
|
|
robar(i) = robar(i)/(ple(i,1)-ple(i,nbase(i))) * 100.0 |
423 |
|
|
ubar(i) = ubar(i)/(ple(i,1)-ple(i,nbase(i))) |
424 |
|
|
vbar(i) = vbar(i)/(ple(i,1)-ple(i,nbase(i))) |
425 |
|
|
|
426 |
|
|
speed(i) = SQRT( ubar(i)*ubar(i) + vbar(i)*vbar(i) ) |
427 |
|
|
ang(i) = ATAN2(vbar(i),ubar(i)) |
428 |
|
|
|
429 |
|
|
enddo |
430 |
|
|
|
431 |
|
|
c Brunt Vaisala Frequency |
432 |
|
|
c ----------------------- |
433 |
|
|
do i = 1,irun |
434 |
|
|
do l = 2,nbase(i) |
435 |
|
|
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
436 |
|
|
if( VAI1.LT.0.0 ) then |
437 |
|
|
VAI1 = 0.0 |
438 |
|
|
endif |
439 |
|
|
VAI2 = 2.0*GRAV/( T(i,lm+1-l)+T(i,lm+2-l) ) |
440 |
|
|
VSQUA = VAI1*VAI2 |
441 |
|
|
BV(i,l) = SQRT(VSQUA) |
442 |
|
|
enddo |
443 |
|
|
enddo |
444 |
|
|
|
445 |
|
|
c Stress at the Surface Level |
446 |
|
|
c --------------------------- |
447 |
|
|
do i = 1,irun |
448 |
|
|
nbar(i) = 0.0 |
449 |
|
|
enddo |
450 |
|
|
do i = 1,irun |
451 |
|
|
do l = 2,nbase(i) |
452 |
|
|
NBAR(i) = NBAR(i) + BV(i,l)*(pl(i,l-1)-pl(i,l)) |
453 |
|
|
enddo |
454 |
|
|
enddo |
455 |
|
|
|
456 |
|
|
do i = 1,irun |
457 |
|
|
NBAR(i) = NBAR(i)/(pl(i,1)-pl(i,nbase(i))) |
458 |
|
|
FRSF = NBAR(i)*tstd(i)/speed(i) |
459 |
|
|
|
460 |
|
|
if( speed(i).eq.0.0 .or. nbar(i).eq.0.0 ) then |
461 |
|
|
TENSIO(i,1) = 0.0 |
462 |
|
|
else |
463 |
|
|
GSTAR = G*FRSF*FRSF/(FRSF*FRSF+A*A) |
464 |
|
|
TENSIO(i,1) = GSTAR*(ROBAR(i)*speed(i)*speed(i)*speed(i)) |
465 |
|
|
. / (NBAR(i)*LSTAR) |
466 |
|
|
endif |
467 |
|
|
|
468 |
|
|
XTENS(i,1) = TENSIO(i,1) * cos(ang(i)) |
469 |
|
|
YTENS(i,1) = TENSIO(i,1) * sin(ang(i)) |
470 |
|
|
DRAGSF(i) = TENSIO(i,1) |
471 |
|
|
XDRAG(i) = XTENS(i,1) |
472 |
|
|
YDRAG(i) = YTENS(i,1) |
473 |
|
|
enddo |
474 |
|
|
|
475 |
|
|
c Check for Very thin lowest layer |
476 |
|
|
c -------------------------------- |
477 |
|
|
do i = 1,irun |
478 |
|
|
if( NTHIN(i).gt.1 ) then |
479 |
|
|
do l = 1,nthin(i) |
480 |
|
|
TENSIO(i,l) = TENSIO(i,1) |
481 |
|
|
XTENS(i,l) = XTENS(i,1) |
482 |
|
|
YTENS(i,l) = YTENS(i,1) |
483 |
|
|
enddo |
484 |
|
|
endif |
485 |
|
|
enddo |
486 |
|
|
|
487 |
|
|
c****************************************************** |
488 |
|
|
c Compute Gravity Wave Stress from NTHIN+1 to NBASE * |
489 |
|
|
c****************************************************** |
490 |
|
|
|
491 |
|
|
do i = 1,irun |
492 |
|
|
do l = nthin(i)+1,nbase(i) |
493 |
|
|
|
494 |
|
|
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
495 |
|
|
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
496 |
|
|
. / speed(i) |
497 |
|
|
|
498 |
|
|
C Convert to Newton/m**2 |
499 |
|
|
roave = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
500 |
|
|
|
501 |
|
|
if( VELCO.le.0.0 ) then |
502 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
503 |
|
|
goto 1500 |
504 |
|
|
endif |
505 |
|
|
|
506 |
|
|
c Froude number squared |
507 |
|
|
c --------------------- |
508 |
|
|
FRO2 = bv(i,l)/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
509 |
|
|
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
510 |
|
|
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
511 |
|
|
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
512 |
|
|
|
513 |
|
|
c Compute Richarson Number |
514 |
|
|
c ------------------------ |
515 |
|
|
if( DELVE2.ne.0.0 ) then |
516 |
|
|
DELZ = DZ(i,l) |
517 |
|
|
VSQUA = BV(i,l)*BV(i,l) |
518 |
|
|
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
519 |
|
|
else |
520 |
|
|
RICHSN = 99999.0 |
521 |
|
|
endif |
522 |
|
|
|
523 |
|
|
if( RICHSN.le.0.25 ) then |
524 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
525 |
|
|
goto 1500 |
526 |
|
|
endif |
527 |
|
|
|
528 |
|
|
c Stress in the Base Layer changes if the local Froude number |
529 |
|
|
c exceeds the Critical Froude number |
530 |
|
|
c ---------------------------------- |
531 |
|
|
CRIFRO = 1.0 - 0.25/RICHSN |
532 |
|
|
CRIF2 = CRIFRO*CRIFRO |
533 |
|
|
if( l.eq.2 ) CRIF2 = MIN(0.7,CRIF2) |
534 |
|
|
|
535 |
|
|
if( FRO2.gt.CRIF2 ) then |
536 |
|
|
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
537 |
|
|
else |
538 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
539 |
|
|
endif |
540 |
|
|
|
541 |
|
|
1500 CONTINUE |
542 |
|
|
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
543 |
|
|
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
544 |
|
|
|
545 |
|
|
enddo |
546 |
|
|
enddo |
547 |
|
|
|
548 |
|
|
c****************************************************** |
549 |
|
|
c Compute Gravity Wave Stress from Base+1 to Top * |
550 |
|
|
c****************************************************** |
551 |
|
|
|
552 |
|
|
do i = 1,irun |
553 |
|
|
icrilv(i) = 0 |
554 |
|
|
enddo |
555 |
|
|
|
556 |
|
|
do i = 1,irun |
557 |
|
|
do l = nbase(i)+1,lm+1 |
558 |
|
|
|
559 |
|
|
TENSIO(i,l) = 0.0 |
560 |
|
|
|
561 |
|
|
c Check for Critical Level Absorption |
562 |
|
|
c ----------------------------------- |
563 |
|
|
if( icrilv(i).eq.1 ) goto 130 |
564 |
|
|
|
565 |
|
|
c Let Remaining Stress escape out the top edge of model |
566 |
|
|
c ----------------------------------------------------- |
567 |
|
|
if( l.eq.lm+1 ) then |
568 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
569 |
|
|
goto 130 |
570 |
|
|
endif |
571 |
|
|
|
572 |
|
|
ROAVE = 0.5*(ro(i,l-1)+ro(i,l)) * 100.0 |
573 |
|
|
VAI1 = (T(i,lm+1-l)-T(i,lm+2-l))/DZ(i,l)+GOCP |
574 |
|
|
|
575 |
|
|
if( VAI1.lt.0.0 ) then |
576 |
|
|
icrilv(i) = 1 |
577 |
|
|
TENSIO(i,l) = 0.0 |
578 |
|
|
goto 130 |
579 |
|
|
endif |
580 |
|
|
|
581 |
|
|
VAI2 = 2.0*GRAV/(T(i,lm+1-l)+T(i,lm+2-l)) |
582 |
|
|
VSQUA = VAI1*VAI2 |
583 |
|
|
VAISD = SQRT(VSQUA) |
584 |
|
|
|
585 |
|
|
velco = 0.5*( (u(i,lm+1-l)*ubar(i) + v(i,lm+1-l)*vbar(i)) |
586 |
|
|
. + (u(i,lm+2-l)*ubar(i) + v(i,lm+2-l)*vbar(i)) ) |
587 |
|
|
. / speed(i) |
588 |
|
|
|
589 |
|
|
if( velco.lt.0.0 ) then |
590 |
|
|
icrilv(i) = 1 |
591 |
|
|
TENSIO(i,l) = 0.0 |
592 |
|
|
goto 130 |
593 |
|
|
endif |
594 |
|
|
|
595 |
|
|
c Froude number squared |
596 |
|
|
c --------------------- |
597 |
|
|
FRO2 = vaisd/(AKWNMB*ROAVE*VELCO*VELCO*VELCO)*TENSIO(i,l-1) |
598 |
|
|
DELUU = u(i,lm+1-l)-u(i,lm+2-l) |
599 |
|
|
DELVV = v(i,lm+1-l)-v(i,lm+2-l) |
600 |
|
|
DELVE2 = ( DELUU*DELUU + DELVV*DELVV ) |
601 |
|
|
|
602 |
|
|
c Compute Richarson Number |
603 |
|
|
c ------------------------ |
604 |
|
|
if( DELVE2.ne.0.0 ) then |
605 |
|
|
DELZ = DZ(i,l) |
606 |
|
|
RICHSN = DELZ*DELZ*VSQUA/DELVE2 |
607 |
|
|
else |
608 |
|
|
RICHSN = 99999.0 |
609 |
|
|
endif |
610 |
|
|
|
611 |
|
|
if( RICHSN.le.0.25 ) then |
612 |
|
|
TENSIO(i,l) = 0.0 |
613 |
|
|
icrilv(i) = 1 |
614 |
|
|
goto 130 |
615 |
|
|
endif |
616 |
|
|
|
617 |
|
|
c Stress in Layer changes if the local Froude number |
618 |
|
|
c exceeds the Critical Froude number |
619 |
|
|
c ---------------------------------- |
620 |
|
|
CRIFRO = 1.0 - 0.25/RICHSN |
621 |
|
|
CRIF2 = CRIFRO*CRIFRO |
622 |
|
|
|
623 |
|
|
if( FRO2.ge.CRIF2 ) then |
624 |
|
|
TENSIO(i,l) = CRIF2/FRO2*TENSIO(i,l-1) |
625 |
|
|
else |
626 |
|
|
TENSIO(i,l) = TENSIO(i,l-1) |
627 |
|
|
endif |
628 |
|
|
|
629 |
|
|
130 continue |
630 |
|
|
XTENS(i,l) = TENSIO(i,l)*COS(ang(i)) |
631 |
|
|
YTENS(i,l) = TENSIO(i,l)*SIN(ang(i)) |
632 |
|
|
enddo |
633 |
|
|
enddo |
634 |
|
|
|
635 |
|
|
C ****************************************************** |
636 |
|
|
C MOMENTUM CHANGE FOR FREE ATMOSPHERE * |
637 |
|
|
C ****************************************************** |
638 |
|
|
|
639 |
|
|
do i = 1,irun |
640 |
|
|
do l = nthin(i)+1,lm |
641 |
|
|
coef = -grav*ple(i,lm+1)/dpres(i,lm+1-l) |
642 |
|
|
dudt(i,lm+1-l) = coef*(XTENS(i,l+1)-XTENS(i,l)) |
643 |
|
|
dvdt(i,lm+1-l) = coef*(YTENS(i,l+1)-YTENS(i,l)) |
644 |
|
|
enddo |
645 |
|
|
enddo |
646 |
|
|
|
647 |
|
|
c Momentum change near the surface |
648 |
|
|
c -------------------------------- |
649 |
|
|
do i = 1,irun |
650 |
|
|
coef = grav*ple(i,lm+1)/(ple(i,lm+1-nthin(i))-ple(i,lm+1)) |
651 |
|
|
dudt(i,lm) = coef*(XTENS(i,nthin(i)+1)-XTENS(i,1)) |
652 |
|
|
dvdt(i,lm) = coef*(YTENS(i,nthin(i)+1)-YTENS(i,1)) |
653 |
|
|
enddo |
654 |
|
|
|
655 |
|
|
c If Lowest layer is very thin, it is strapped to next layer |
656 |
|
|
c ---------------------------------------------------------- |
657 |
|
|
do i = 1,irun |
658 |
|
|
if( nthin(i).gt.1 ) then |
659 |
|
|
do l = 2,nthin(i) |
660 |
|
|
dudt(i,lm+1-l) = dudt(i,lm) |
661 |
|
|
dvdt(i,lm+1-l) = dvdt(i,lm) |
662 |
|
|
enddo |
663 |
|
|
endif |
664 |
|
|
enddo |
665 |
|
|
|
666 |
|
|
c Convert Units to (m/sec**2) |
667 |
|
|
c --------------------------- |
668 |
|
|
do l = 1,lm |
669 |
|
|
do i = 1,irun |
670 |
|
|
dudt(i,l) = - dudt(i,l)/ps(i)*0.01 |
671 |
|
|
dvdt(i,l) = - dvdt(i,l)/ps(i)*0.01 |
672 |
|
|
enddo |
673 |
|
|
enddo |
674 |
|
|
|
675 |
|
|
return |
676 |
|
|
end |